Question

Помогите пожалуйста :((((((

Answer 1

№4

1) $7sqrt{6}-2sqrt{54}+sqrt{96}=7sqrt{6}-2sqrt{9}sqrt{6}+sqrt{16}sqrt{6}=7sqrt{6}-6sqrt{6}+4sqrt{6}=5sqrt{6}$

2)

$(sqrt{80}-sqrt{20})sqrt{5}=sqrt{80*5}-sqrt{20*5}=sqrt{400}-sqrt{100}=20-10=10$

3)

$(sqrt{10}-1)^2=(sqrt{10})^2-2*sqrt{10}*1+1^2=10+1-2sqrt{10}=11-2sqrt{10}$

4)

$(6sqrt{3}+sqrt{2})(6sqrt{3}-sqrt{2})=(6sqrt{3})^2-(sqrt{2})^2=36*3-2=108-2=106$

№5

1)

$4sqrt{5}=sqrt{16}sqrt{5}=sqrt{16*5}=sqrt{80}\3sqrt{8}=sqrt{9}sqrt{8}=sqrt{9*5}=sqrt{72}\80>72; sqrt{80}>sqrt{72}\4sqrt{5}>3sqrt{8}$

2)

$7sqrt{frac{2}{7}}=sqrt{49}sqrt{frac{2}{7}}=sqrt{frac{49*2}{7}}=sqrt{14}\frac{1}{2}sqrt{56}=sqrt{frac{1}{4}}sqrt{56}=sqrt{frac{56}{4}}=sqrt{14}\7sqrt{frac{2}{7}}=frac{1}{2}sqrt{56}$